factorize
a^12x^5 - a^4x^12
(step by step)
Answers
Answered by
0
Step-by-step explanation:
Using a
2
−b
2
=(a+b)(a−b) at each step
Given:a
12
x
4
−a
4
x
12
=a
4
x
4
(a
8
−x
8
), factor out common factor a
4
x
4
=a
4
x
4
[(a
4
)
2
−(x
4
)
2
]
=a
4
x
4
(a
4
+x
4
)(a
4
−x
4
)
=a
4
x
4
(a
4
+x
4
)[(a
2
)
2
−(x
2
)
2
]
=x
4
a
4
(a
4
+x
4
)(a
2
+x
2
)(a
2
−x
2
)
=x
4
a
4
(a
4
+x
4
)(a
2
+x
2
)(a+x)(a−x)
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